{
  "id": "1006.5859",
  "version": "v2",
  "published": "2010-06-30T14:00:20.000Z",
  "updated": "2011-01-26T09:25:05.000Z",
  "title": "Binary forms as sums of two squares and Châtelet surfaces",
  "authors": [
    "R. de la Bretèche",
    "T. D. Browning"
  ],
  "comment": "33 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "The representation of integral binary forms as sums of two squares is discussed and applied to establish the Manin conjecture for certain Ch\\^atelet surfaces defined over the rationals.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-01-26T09:25:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11D45",
      "11N37",
      "14G25"
    ],
    "keywords": [
      "châtelet surfaces",
      "integral binary forms",
      "manin conjecture",
      "representation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 33,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1006.5859D"
    }
  }
}